July 23, 2014

Posts by Rom

Total # Posts: 8


business math
what are the amount and present value of an annuity of $100 paable at the beginning of each quarter fro 15 years if the interest rate is 12% compounded quarterly? Present Value=PMT[(1-(1+i)^-n)/i] Amount = ?????

calc limit
lim (2^x - 3^-x)/2^x + 3^-x x-> infinity Thanks. Do you mean (2^x - 3^-x)/(2^x + 3^-x) or [(2^x - 3^-x)/2^x] + 3^-x ? in other words, is the second 3^-x in the denominator? In any case, the limit of 3^-x as x-> infnity is zero. That should help you figure out the answer....

Linear Algebra
a)Let v be a fixed vector in R^3. Show that the transformation defined by T(u)=vxu is a linear transformation. b)Find the range of this linear transformation. Thanx

The matrix; [ 1 -2 0] [-2 -1 1] [ 0 0 -1] I have found the eigenvalues to be -1 and +/- 5^1/2 but am having problems putting the root 5 values a eigenvectors. I know I sub it back into the matrix { x-1 -2 0 } { -2 x+1 1 } { 0 0 x+1} but then it gets messy. Can someone finish t...

for the matrix: { 1 -2 0} {-2 -1 1} { 0 0 -1} I found the eigenvalue to be -1 and +/- 5^1/2 Is this correct and can someone show me how to put the root 5 values as eigenvectors? Please and Thanks

precalc sequence
5-5^2 = 5-25 =-20 The fifth term is just when n=5 I believe. What is the fifth term of the sequence a sub n=5-n^2? a)-11 b)-20 c)-7 d)-5 I believe that the answer that fits the best is d, but I could be wrong

discrete math
If a and b are positive integers, prove that: ab = gcd(a,b)*lcm(a,b). Can visualize this being true and easily create examples just dont know how to prove algebraically. well the gcd of any two number can be found by multiplying the two numbers together and the lcm of all numb...

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